The phrase "a slightly different vision" is correct and usable in written English.
You can use it when discussing variations in perspectives, ideas, or plans that are not drastically different but have some distinctions.
Example: "While we all agree on the project's goals, each team member has a slightly different vision of how to achieve them."
Alternatives: "a somewhat altered perspective" or "a marginally distinct viewpoint."
Ms. Gray has a slightly different vision: "It would be very sophisticated and urban.
Each one represented a slightly different vision of the future that Pakistan might have if — as now seems more likely than ever — Musharraf's government were to fall.
Naturally, everyone I talked to had different priorities and a slightly different vision for what the internal audit department should focus on, so Paul and I worked to aggregate that vision.
It's a slightly different vision than that espoused by consoles like Ouya and GamePop, and Green Throttle had a more concentrated focus on multiplayer interaction, but it's still not a confidence-inspiring development for anyone watching this space.
There is a strong sense that the world's largest two emitters are working collaboratively to an agreement in Paris although they have slightly different visions as to what that agreement will look like.
A.T. & T. and Verizon are staking their respective futures on slightly different visions.
Lamacq said: "I jumped at the chance to work with Jo again, because we both have slightly different visions of what pop music is, but they seem to complement each other.
In contrast, there are three types of cone cells, each containing a different rhodopsin that absorbs at a slightly different wavelength, enabling colour vision.
Grapheme-color synesthesia is a slightly different condition, because it only involves vision.
In human vision, each eye collects an image from a slightly different perspective, and our brains construct depth from the slight differences in the images.
Each lens records a slightly different view corresponding to the different view each eye sees in normal vision.
